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Smooth potentials with prescribed boundary behaviour
Gardiner, Stephen J.
Gustafsson, Anders

Date: 2004
Abstract: This paper examines when it is possible to find a smooth potential on a C1 domain D with prescribed normal derivatives at the boundary. It is shown that this is always possible when D is a Liapunov-Dini domain, and this restriction on D is essential. An application concerning C1 superharmonic extension is given.
Rights: Tots els drets reservats.
Language: Anglès
Document: Article ; recerca ; Versió publicada
Subject: Potential ; Boundary behaviour ; Superharmonic extension
Published in: Publicacions matemàtiques, V. 48 N. 1 (2004) , p. 241-249, ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/38097
DOI: 10.5565/PUBLMAT_48104_11


10 p, 111.8 KB

The record appears in these collections:
Articles > Published articles > Publicacions matemàtiques
Articles > Research articles

 Record created 2006-03-13, last modified 2023-11-30



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